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2000111200 = 255217241211
BaseRepresentation
bin111011100110111…
…0100011001100000
312011101120011202121
41313031310121200
513044012024300
6530245154024
7100364443663
oct16715643140
95141504677
102000111200
1193701316a
124799bb914
1325b4b5b69
1414d8c76da
15ba8d581a
hex77374660

2000111200 has 216 divisors, whose sum is σ = 5338580184. Its totient is φ = 731136000.

The previous prime is 2000111173. The next prime is 2000111207. The reversal of 2000111200 is 21110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000111207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9479095 + ... + 9479305.

It is an arithmetic number, because the mean of its divisors is an integer number (24715649).

Almost surely, 22000111200 is an apocalyptic number.

2000111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669290092).

2000111200 is an abundant number, since it is smaller than the sum of its proper divisors (3338468984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000111200 is a wasteful number, since it uses less digits than its factorization.

2000111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2000111200 is about 44722.6027865105. The cubic root of 2000111200 is about 1259.9443999989.

Adding to 2000111200 its reverse (21110002), we get a palindrome (2021221202).

The spelling of 2000111200 in words is "two billion, one hundred eleven thousand, two hundred".